Number Theory Seminar

Integral Prismatic Cohomology

Abstract

Not long ago Bhatt-Lurie, and independently Drinfeld, introduced the “stacky approach” to prismatic cohomology for p-adic schemes. I'll explain this general approach and how it can be used to construct a cohomology theory for schemes over Z whose p-adic completions recover prismatic cohomology and whose generic fibre recovers de Rham cohomology.